| Season | Team | Competition | MP | G | A | Rating | ||
|---|---|---|---|---|---|---|---|---|
| 2025 | Sarpsborg 08 | Eliteserien | 0 | 0 | 0 | 0 | 0 | – |
| 2024 | Sarpsborg 08 | Eliteserien | 1 | 0 | 0 | 0 | 0 | 6.7 |
| 2023 | Fredrikstad | 1. Division | 27 | 2 | 0 | 2 | 0 | – |
| 2022 | Fredrikstad | 1. Division | 24 | 1 | 0 | 4 | 0 | – |
| 2021 | Fredrikstad | 1. Division | 27 | 2 | 0 | 2 | 1 | – |
| 2020 | Fredrikstad | 2. Division | 19 | 0 | 0 | 4 | 0 | – |
| 2019 | Fredrikstad | 2. Division | 18 | 0 | 0 | 1 | 0 | – |
| 2018 | Fredrikstad | 2. Division | 23 | 1 | 0 | 5 | 0 | – |
| 2017 | Fredrikstad | 1. Division | 22 | 0 | 0 | 2 | 0 | – |
| 2016 | Fredrikstad | 1. Division | 27 | 1 | 0 | 4 | 0 | – |
| 2015 | Fredrikstad | 1. Division | 24 | 2 | 0 | 3 | 0 | – |
| 2014 | Fredrikstad | 1. Division | 27 | 2 | 0 | 3 | 0 | – |
| 2013 | Fredrikstad | 1. Division | 7 | 0 | 0 | 0 | 0 | – |
| 2011 | Fredrikstad | Eliteserien | 0 | 0 | 0 | 0 | 0 | – |
| Total | 246 | 11 | 0 | 30 | 1 | – | ||
H. Åsheim career history shows progression across clubs and competitions, including club timeline, national team appearances and overall career totals.